Super Modified Combination Sum
Algebra
Level
3
\[ \large\displaystyle \sum_{k=1}^{504} \left ( 4k-1 \right ) \binom{2015}{4k-1} \]
If the sum above can be written as \( p.q^{r} \), where \(p\), \(q\) and \(r\) are positive integers with \(q\) being a prime.
Evaluate \( p+q+r \).
Image Credit: Wikimedia TED-43.
by
uzumaki nagato tenshou...